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Finding the Fourth Proportional to 205,057.10, 307,585.65 and 135,073.10

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Solution

The fourth proportional to 205,057.10, 307,585.65 and 135,073.10 is: 202,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.10 : 307,585.65 = 135,073.10 : x
  2. Step 2: Convert to fraction form
    205,057.10/307,585.65 = 135,073.10/x
  3. Step 3: Cross multiply
    205,057.10x = 307,585.65 × 135,073.10
  4. Step 4: Simplify right side
    205,057.10x = 41,546,547,261.02
  5. Step 5: Solve for x
    x = 41,546,547,261.02/205,057.10
  6. Step 6: Final answer
    x = 202,609.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.